Algebra Calculus Equality Physics 
Stephen Wolfram
MARCH 7, 2022
1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.
Stephen Wolfram
JANUARY 9, 2023
It happened with our Physics Project in 2020. It’s equally, if not more, important for human-like AIs as well—immediately giving them what we can think of as computational knowledge superpowers, that leverage the non-human-like power of structured computation and structured knowledge. ChatGPT and Wolfram|Alpha.
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Stephen Wolfram
DECEMBER 13, 2021
Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical.
Stephen Wolfram
JUNE 28, 2023
Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”
Stephen Wolfram
NOVEMBER 10, 2021
It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : ✕.
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